6. Definition of an asymptote
• An asymptote is a straight line which acts as a
boundary for the graph of a function.
• When a function has an asymptote (and not all
functions have them) the function gets closer
and closer to the asymptote as the input value to
the function approaches either a specific value a
or positive or negative infinity.
• The functions most likely to have asymptotes are
rational functions
16. Horizontal Asymptotes
Horizontal asymptotes occur when either one of the following
conditions is met:
The degree of the numerator is less than the degree of the
denominator. In this case the asymptote is the horizontal line
y = 0.
The degree of the numerator is equal to the degree of the
denominator. In this case the asymptote is the horizontal line
When the degree of the numerator is greater than the degree of
the denominator there is no horizontal asymptote